| 摘要: |
| 本文提出优聚类的统一定义,从而概括了众多的聚类方法,建立了聚类函数的若干性质,证明了等价关系系统与系统聚类法的等价性,推广了 Fisher 算法,证得全序递归聚类法必得优聚类,得出最优聚类的一些充分条件。 |
| 关键词: 聚类函数,优聚类,最优聚类,等价关系系统,递归聚类法 |
| DOI： |
| 分类号: |
| 基金项目: |
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| SOME PROBLEMS CONCERNING CLUSTER ANALYSIS |
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Wang Naixin
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| Abstract: |
| In this paper we introduced a unified definition of well and optimum cluster, summarized many clustering methods,established some properties of clustering function, proved the equivalence of hierachical equivalent relations with hierachical clustering methods and extended fisher algorithm,proved that ordered recursive clustering must yield well ordered cluster,and some sufficient conditions of optimum clustering were obtained. |
| Key words: clustering function,well cluster,optimum cluster,ierachical cquivalent relations,recursive clustering methods |
